{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "ce8ff27f-ddf5-45f8-a1fe-9c18a79f1637",
   "metadata": {},
   "source": [
    "Chapter 14\n",
    "# 链图\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "eb16347c-a921-4ef1-b202-c37f4386ca2e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "df2f62aa-a994-4f13-a408-0414986be266",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 800x800 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 8))\n",
    "\n",
    "fig, axes = plt.subplots(2, 4, figsize = (12,6))\n",
    "\n",
    "for n,ax_n in zip([6,8,9,12,16,18,19,38],axes.flat):\n",
    "    \n",
    "    # star graph\n",
    "    S_n = nx.path_graph(n)\n",
    "    \n",
    "    nx.draw_networkx(S_n, \n",
    "                     pos = nx.spring_layout(S_n),\n",
    "                     node_size=20, \n",
    "                     node_color=\"blue\", \n",
    "                     with_labels=False,\n",
    "                     ax = ax_n)\n",
    "    ax_n.axis(\"off\")\n",
    "    \n",
    "plt.savefig('链图.svg')    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4eef74b4-e254-4892-933e-58d7574916f0",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
